To determine if Helena's statement about having around $8.50 left on her gift card is reasonable, we need to calculate how much she actually spends and compare it with her remaining balance.
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Calculate the total cost of the muffins:
- She buys a muffin for herself and five friends, which totals 6 muffins.
- The cost of each muffin is $1.02.
- The total cost for the muffins is: \[ 6 \text{ muffins} \times 1.02 \text{ per muffin} = 6.12 \]
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Calculate the balance remaining on the gift card:
- She starts with $14.48.
- After buying the muffins, the remaining balance is: \[ 14.48 - 6.12 = 8.36 \]
Now, let's review Helena's statement that she has about $8.50 left. The calculation shows that she has approximately $8.36 left, which is close to $8.50.
Now let's evaluate each option:
A. This is reasonable because $14.48 can be rounded to $14.40 and $1.02 can be rounded to $1. Since 14.40 - 5(1) = 9.40, she would have about $9.40 left on her gift card.
- This calculation is incorrect because she bought 6 muffins, not 5.
B. This is not reasonable because $14.48 can be rounded to $14.50 and $1.02 can be rounded to $2. Since 14.50 - 6(2) = 2.50, she would have about $2.50 left on her gift card.
- This calculation is incorrect and greatly overestimates her costs.
C. This is reasonable because $14.48 can be rounded to $14.50 and $1.02 can be rounded to $1. Since 14.50 - 6(1) = 8.50, she would have about $8.50 left on her gift card.
- This statement is reasonable because it uses a logical rounding and yields a result close to Helena's claim.
D. This is not reasonable because $14.48 can be rounded to $15 and $1.02 can be rounded to $2. Since 15 - 5(2) = 5, she would have about $5 left on her gift card.
- This option incorrectly counts only 5 muffins and offers an incorrect estimate of her balance.
The best answer is C: It reasonably approximates Helena's claim about her gift card balance.
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